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Vera_Pavlovna [14]
4 years ago
10

What is the value of x in the diagram?

Mathematics
1 answer:
Verizon [17]4 years ago
5 0
2 lines parallel, and 2 triangles have a common angle
So the smaller Δ  is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2


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Hernando and Rachel are factoring 2mp-6p+27-9m. Is either of them correct? Explain your reasoning,
vichka [17]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as Hernando and Rachel's solution are not provided. So, I will just solve the question directly.

Given

2mp-6p+27-9m

Required

Factor

2mp-6p+27-9m

Group into 2

2mp-6p+27-9m = [2mp-6p]+[27-9m]

Factor each group

2mp-6p+27-9m = 2p[m-3]+9[3-m]

Rewrite 3 - m as -(m-3)

So, we have:

2mp-6p+27-9m = 2p[m-3]-9[m-3]

Factor out m - 3

2mp-6p+27-9m = [2p-9][m-3]

3 0
3 years ago
What is the equation, in standard form, of a parabola that contains the following points? (-2,18),(0,4),(4,24)
nydimaria [60]
Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given

1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4

2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14

3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20

4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3

Hence the equation  is y =2x²-3x+4



6 0
3 years ago
Below are two regular polygons. Calculate the value of angle a.​
kodGreya [7K]
There’s no attachment
7 0
3 years ago
Find the lenght of ab
DerKrebs [107]

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

7 0
3 years ago
What is 201 divided by 7?
anzhelika [568]
201÷7= 28.71
The answer is 28.71
5 0
3 years ago
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